Without a visual representation or additional context, it's challenging to determine the precise angle measure of the shaded part of the circle. However, if the shaded part is a central angle or an inscribed angle, it's possible to estimate based on its position relative to the entire circle.
Here are the steps you can take to find the answer:
Determine what fraction of the circle the shaded part covers.
Multiply that fraction by 360 (the total number of degrees in a circle) to find the angle measure.
For example, if the shaded part covers 1/4 of the circle, you would multiply 1/4 by 360 to get 90 degrees.
If you could provide more specific information about the shaded part's size or position relative to the entire circle, I could give you a more accurate assessment.